期刊名称：International Journal of Computer and Information Technology
印刷版ISSN：2279-0764
出版年度：2015
卷号：4
期号：3
出版社：International Journal of Computer and Information Technology
摘要：We consider a class of linear singular perturbation ODE-BVP associated with, the common Dirichlet boundary condition, as one of the most comprehensive and difficult boundary conditions which with boundary layers at end points or interior layer. A new improvement of general form of Shishkin piecewise uniform fitted mesh technique applied, of adjustable width. Taking into consideration the locating process to find, the true locations of the fine subintervals in which corresponding to singular boundary layers (viscous parts) or interior layers, occur in their solutions using some well known easy analytical and/or applied techniques, then the fine subinterval also divided to two other a little bit different distance subintervals because of the different rate of convection and diffusion phenomenon in the solutions, as alternative of the well known uniform or equidistant mesh for backward finite difference method, to introduce what a known by a fitted mesh. So 9 standard problems solved and then compared with versus numerical solution of uniform mesh and Shishkin mesh inside backward finite difference method for different choices of .? and N . In addition to presenting illustrative Matlab plots of most of the mesh constructions, the solutions and the epsilon convergence for each case separately in order to show the verification of progress and efficiency of the new method relative to both methods
